LEADER 03482nam 22006375 450 001 996466760803316 005 20200704144550.0 010 $a3-319-42309-6 024 7 $a10.1007/978-3-319-42309-8 035 $a(CKB)3710000000909091 035 $a(DE-He213)978-3-319-42309-8 035 $a(MiAaPQ)EBC6303937 035 $a(MiAaPQ)EBC5578189 035 $a(Au-PeEL)EBL5578189 035 $a(OCoLC)1066186977 035 $a(PPN)196319218 035 $a(EXLCZ)993710000000909091 100 $a20161005d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs$b[electronic resource] $eCetraro, Italy 2012 /$fedited by Annalisa Buffa, Giancarlo Sangalli 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (IX, 193 p. 81 illus., 70 illus. in color.) 225 1 $aC.I.M.E. Foundation Subseries ;$v2161 311 $a3-319-42308-8 327 $aPreface -- Standard and Non?Standard CAGD Tool for Isogeometric Analysis: a Tutorial -- Models for Isogeometric Analysis from CAD -- An Introduction to the Numerical Analysis of Isogeometric Methods -- Isogeometric Compatible Discretizations for Viscous Incompressible Flow. 330 $aProviding an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. It contains a tutorial on splines and generalizations that are used in CAD parametrizations, and gives an overview of geometric modeling techniques that can be used within the isogeometric approach, with a focus on non-tensor product splines. Finally, it presents the mathematical properties of isogeometric spaces and spline spaces for vector field approximations, and treats in detail an application of fundamental importance: the isogeometric simulation of a viscous incompressible flow. 410 0$aC.I.M.E. Foundation Subseries ;$v2161 606 $aNumerical analysis 606 $aComputer mathematics 606 $aComputer graphics 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aNumeric Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I1701X 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aComputer Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22013 615 0$aNumerical analysis. 615 0$aComputer mathematics. 615 0$aComputer graphics. 615 14$aNumerical Analysis. 615 24$aNumeric Computing. 615 24$aComputational Science and Engineering. 615 24$aComputer Graphics. 676 $a515.15 702 $aBuffa$b Annalisa$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSangalli$b Giancarlo$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466760803316 996 $aIsogeometric analysis: a new paradigm in the numerical approximation of PDEs$91749139 997 $aUNISA